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The central curve in linear programming
Linear programming interior point methods matroid Tutte polynomial hyperbolic
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2011/2/22
The central curve of a linear program is an algebraic curve speci ed by linear and quadratic constraints arising from complementary slackness. It is the union of the various central paths for minimizi...
Constructing elliptic curve isogenies in quantum subexponential time
Constructing elliptic curve isogenies quantum subexponential time
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2011/3/3
Given two elliptic curves over a finite field having the same cardinality and endomorphism
ring, it is known that the curves admit an isogeny between them, but finding such an isogeny is believed to ...
Brauer group of moduli of principal bundles over a curve
Brauer group principal bundle moduli space curve
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2011/2/24
Let G be a semisimple linear algebraic group over the field C, and let C be an irreducible smooth complex projective curve of genus at least three. We compute the Brauer group of the smooth locus of t...
Two families of maximal curves which are not Galois subcovers of the Hermitian curve
maximal curves generalized GK curves Galois coverings
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2011/1/20
We show that the generalized Giulietti-Korchm´aros curve and the maximal curve with equation x q2 − x = y (qn+1)/(q+1) defined over F q2n, for n 3 odd and q 3, are not Galois subcovers...
On the Ranks of the 2-Selmer Groups of Twists of a Given Elliptic Curve
Ranks of the 2-Selmer Groups of Twists Given Elliptic Curve
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2010/12/1
On the Ranks of the 2-Selmer Groups of Twists of a Given Elliptic Curve.
On Some Characterizations of Ruled Surface of a Closed Spacelike Curve with Timelike Binormal in Dual Lorentzian Space
Spacelike dual curve ruled surface Lorentzian space dual num-bers
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2010/12/6
In this paper, we investigate the relations between the pitch, the angle of pitch and drall of parallel ruled surface of a closed spacelike curve with timelike binormal in dual Lorentzian space.
On a plane section of an integral curve in positive characteristic
Integral curve plane section minimal curve positive characteristic
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2010/12/9
If C P3 k is an integral curve and k an algebraically closed field of characteristic 0, it is known that the points of the general plane section C \H of C are in uniform position. From this it follo...
On Some Characterizations of Ruled Surface of a Closed Spacelike Curve with a Spacelike Binormal in Dual Lorentzian Space
Spacelike dual curve ruled surface Lorentzian space dual numbers
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2010/12/8
In this paper, we investigate the relations between the pitch, the angle of pitch and drall of parallel ruled surface of a closed spacelike curve with a spacelike binormal in dual Lorentzian space.
ON THE PLANE SECTIONS OF THE TANGENT SURFACE OF A SPACE CURVE
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2007/12/12
<正> 1.Introduction.Let the tangent surface of an analytic curve Cin ordinary space be cut by a plane through a tangent at an ordinarypoint O of C,then the plane section thus obtained has a point of in...